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PG
1999
IEEE
15 years 11 months ago
Mesh Approximation Using a Volume-Based Metric
In this paper we introduce a mesh approximation method that uses a volume-based metric. After a geometric simplification, we minimize the volume between the simplified mesh and th...
Pierre Alliez, Nathalie Laurent, Henri Sanson, Fra...
STOC
1998
ACM
190views Algorithms» more  STOC 1998»
15 years 10 months ago
Efficient Search for Approximate Nearest Neighbor in High Dimensional Spaces
We address the problem of designing data structures that allow efficient search for approximate nearest neighbors. More specifically, given a database consisting of a set of vecto...
Eyal Kushilevitz, Rafail Ostrovsky, Yuval Rabani
APPROX
2006
Springer
126views Algorithms» more  APPROX 2006»
15 years 10 months ago
Better Approximations for the Minimum Common Integer Partition Problem
Abstract. In the k-Minimum Common Integer Partition Problem, abbreviated k-MCIP, we are given k multisets X1, . . . , Xk of positive integers, and the goal is to find an integer mu...
David P. Woodruff
STOC
1995
ACM
145views Algorithms» more  STOC 1995»
15 years 10 months ago
Polynomial time approximation schemes for dense instances of NP-hard problems
We present a unified framework for designing polynomial time approximation schemes (PTASs) for “dense” instances of many NP-hard optimization problems, including maximum cut,...
Sanjeev Arora, David R. Karger, Marek Karpinski
APPROX
2008
Springer
245views Algorithms» more  APPROX 2008»
15 years 8 months ago
Approximating Optimal Binary Decision Trees
Abstract. We give a (ln n + 1)-approximation for the decision tree (DT) problem. An instance of DT is a set of m binary tests T = (T1, . . . , Tm) and a set of n items X = (X1, . ....
Micah Adler, Brent Heeringa